A equals 3
Equation is g(x)=3f(x)
What i did is notice the y intercept is at 3 so I plugged in x=0 into the parent equation and got f(0)=1
So to get this equation to the y=3 intercept which is the g function, you have to multiply it by 3
Answer:
x = 22.68
Step-by-step explanation:
82.24 = -8.48 + 4x
82.24 + 8.48 = 4x
4x = 90.72
x = 22.68
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
Answer:
72 yd^2
Step-by-step explanation:
Separate the shape into a square and a rectangle. Figure out the measurements of each shape then add the total.
Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where
and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary